Topological Duality and Lattice Expansions Part I : A Topological Construction of Canonical Extensions

@inproceedings{Moshier2009TopologicalDA,
  title={Topological Duality and Lattice Expansions Part I : A Topological Construction of Canonical Extensions},
  author={M. Andrew Moshier and Peter Jipsen},
  year={2009}
}
The two main objectives of this paper are (a) to prove topological duality theorems for semilattices and bounded lattices, and (b) to show that the topological duality from (a) provides a construction of canonical extensions of bounded lattices. The paper is the first of two parts. The main objective of the sequel [11] is to establish a characterization of lattice expansions, i.e., lattices with additional operations, in the topological setting built in this paper. Regarding objective (a… CONTINUE READING